Suppose K, L, and M Grow at Constant Rates Given $\bar { g } _ { k }$

question 67

Multiple Choice

Suppose k, l, and m grow at constant rates given by $\bar { g } _ { k }$ And $\bar { g } _ { m }$
What is the growth rate of y if $y = ( m k l ) ^ { 1 / 3 } ?$

• A) \(g _ { y } = ( 1 / 3 ) \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 1 / 3 ) \bar { g } _ { l }\)
• B) \(\bar { g } _ { y } = \frac { 1 } { 3 \left( \bar { g } _ { m } - \bar { g } _ { k } - \bar { g } _ { l } \right) }\)
• C) \(\bar { g } _ { y } = 3 \left( \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { l } \right)\)
• D) \(\bar { g } _ { y } = \left( \bar { g } _ { m } ^ { \frac { 1 } { 3 } } + g _ { k } ^ { \frac { 1 } { 3 } } + g _ { l } ^ { \frac { 1 } { 3 } } \right)\)
• E) \(\bar { g } _ { y } = \frac { 2 } { 3 \left( \bar { g } _ { m } + \bar { g } _ { k } - \bar { g } _ { l } \right) }\)

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